• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1373-1384
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• 2016

In this paper, we research the normality of sequences of meromorphic functions concerning the sequence of omitted functions. The main result is listed below. Let {$f_n(z)$} be a sequence of functions meromorphic in D, the multiplicities of whose poles and zeros are no less than k + 2, $k{\in}\mathbb{N}$. Let {$b_n(z)$} be a sequence of functions meromorphic in D, the multiplicities of whose poles are no less than k + 1, such that $b_n(z)\overset{\chi}{\Rightarrow}b(z)$, where $b(z({\neq}0)$ is meromorphic in D. If $f^{(k)}_n(z){\neq}b_n(z)$, then {$f_n(z)$} is normal in D. And we give some examples to indicate that there are essential differences between the normal family concerning the sequence of omitted functions and the normal family concerning the omitted function. Moreover, the conditions in our paper are best possible.

• Molecules and Cells
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• v.44 no.5
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• pp.342-355
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• 2021

The microphthalmia-associated transcription factor family (MiT family) proteins are evolutionarily conserved transcription factors that perform many essential biological functions. In mammals, the MiT family consists of MITF (microphthalmia-associated transcription factor or melanocyte-inducing transcription factor), TFEB (transcription factor EB), TFE3 (transcription factor E3), and TFEC (transcription factor EC). These transcriptional factors belong to the basic helix-loop-helix-leucine zipper (bHLH-LZ) transcription factor family and bind the E-box DNA motifs in the promoter regions of target genes to enhance transcription. The best studied functions of MiT proteins include lysosome biogenesis and autophagy induction. In addition, they modulate cellular metabolism, mitochondria dynamics, and various stress responses. The control of nuclear localization via phosphorylation and dephosphorylation serves as the primary regulatory mechanism for MiT family proteins, and several kinases and phosphatases have been identified to directly determine the transcriptional activities of MiT proteins. In different immune cell types, each MiT family member is shown to play distinct or redundant roles and we expect that there is far more to learn about their functions and regulatory mechanisms in host defense and inflammatory responses.

• Journal of Families and Better Life
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• v.24 no.2 s.80
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• pp.149-163
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• 2006

The purposes of this study were to explore ecological variables that affect family functions and to analyze relative magnitudes of significant predictors. The study employed ecological model. Data were collected from 143 mothers of mildly handicapped children enrolled in integrated kindergartens in Seoul, Korea. The results of the study were as follows : 1. The level of family functions with mildly handicapped children were found to be moderate(M=3.21, SD=.49). 2. The hierarchical regression analysis yielded Model V as the most powerful model, explaining 79%$(Adjusted\;R^2=.787)$ of the variance. 3. The most powerful predictors throughout Model I to V were found to be maternal efficacy $({\beta}=.578,\;p<.001)$, maternal satisfaction with parent-education and counseling programs $({\beta}=.249,\;p<.001)$, husband's helps $({\beta}=.207,\;p<.01)$, and the availability of assistance other than family members $({\beta}=.232,\;p<.05)$ in the order.

• Journal of the Korean Mathematical Society
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• v.54 no.6
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• pp.1641-1665
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• 2017

The paper considers p-valent functions in the open unit disk. We study the integral means along with the area integral problems for functions belonging to a family of p-valent functions.

• Journal of Korean Academy of Nursing
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• v.29 no.3
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• pp.700-710
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• 1999

Promoting women's health lifestyles are important due to their connection to family health. The purpose of this study was to analyse women's health lifestyles(HPL) and their effects on women's life-cycle, so in order to develop a program in a women's health care center. The subjects included were 1080 women over 18 years old living in Wonju city, and were selected by stratified and purposive sampling. The data were collected through a questionnaire and interview. The Cronbach $\alpha$, %, mean, ANOVA, Pearson's correlation, and regression in SPSS PC Win. package was used to analyze the data. The sample was sepernted into three groups premarital group 20.2%(premarital women between 18 and 40 years old), delivery and children rearing group 49.9%(marital women between 18 and 40 years old), over middle agedelderly group 29.9%(women over 41 years old). Significant difference were found in the HPL according to group. Also, relating variables, such as self-efficacy, family functions, health locus of control and gender role perception that were considered relating variables to HPL significantly differed among the three groups. HPL significantly correlated with self-efficacy, family functions, HLOC and gender role perception in all participants and at all groups. The regression analysis of HPL was interpreted 40.6% with relating variables, self-efficacy, health attention, family functions, and internal locus of control, health perception, power other locus of control and chance locus of control in all participant. Self-efficacy, family functions, health attention were considered important variables in premarital group, self-efficacy, family functions, internal locus of control, health attention, health perception and power of control were important in delivery-rearing group. Self-efficacy, health attention, internal locus of control, family functions and health perception were important in middle aged-elderly group. As a result, we found the differences HPL scores and relating variables according to life-cycle groups. Therefore, we should prepare health promoting education programs for women according to women's life cycles. Also we suggest that women's health care centers based on communities was needed for proper management of women's health.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.12 no.3
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• pp.232-237
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• 2012

We introduce the notion of (L, e)-filters with fuzzy partially order e on complete residuated lattice L. We investigate (L, e)-filters induced by the family of (L, e)-filters and functions. In fact, we study the initial and final structures for the family of (L, e)-filters and functions. From this result, we define the product and co-product for the family of (L, e)-filters and functions.

• Journal of Information Processing Systems
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• v.12 no.2
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• pp.310-321
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• 2016

TCS_SHA-3 is a family of four cryptographic hash functions that are covered by a United States patent (US 2009/0262925). The digest sizes are 224, 256, 384 and 512 bits. The hash functions use bijective functions in place of the standard compression functions. In this paper we describe first and second preimage attacks on the full hash functions. The second preimage attack requires negligible time and the first preimage attack requires $O(2^{36})$ time. In addition to these attacks, we also present a negligible time second preimage attack on a strengthened variant of the TCS_SHA-3. All the attacks have negligible memory requirements. To the best of our knowledge, there is no prior cryptanalysis of any member of the TCS_SHA-3 family in the literature.

• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1391-1409
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• 2016

In this paper, we investigate a family of holomorphic functions in several complex variables concerning the total derivative (or called radial derivative), and obtain some well-known normality criteria such as the Miranda's theorem, the Marty's theorem and results on the Hayman's conjectures in several complex variables. A high-dimension version of the famous Zalcman's lemma for normal families is also given.

• Bulletin of the Korean Mathematical Society
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• v.51 no.3
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• pp.691-700
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• 2014

We study normality for families of meromorphic functions which is related to an extended version of a Hayman's conjecture on value distribution, and prove several normality criteria for meromorphic functions and certain non-homogeneous differential polynomials.

• Kyungpook Mathematical Journal
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• v.49 no.4
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• pp.751-761
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• 2009

In this paper, we introduce and study a comprehensive family of harmonic univalent functions which contains various well-known classes of harmonic univalent functions as well as many new ones. Also, we improve some results obtained by Frasin [3] and obtain coefficient bounds, distortion bounds and extreme points, convolution conditions and convex combination are also determined for functions in this family. It is worth mentioning that many of our results are either extensions or new approaches to those corresponding previously known results.